Hardness of metallic crystals

Bulletin of materials science

Fengzhang Ren¹  Juanhua Su²  Ke Cao³  Zhanhong Ma²  Baohong Tian²  Wuhui Li³ 

[1] Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China$$Henan Key Laboratory of Advanced Non-ferrous Metals, Luoyang 471003, China$$School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China$$Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, ChinaShenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China$$Henan Key Laboratory of Advanced Non-ferrous Metals, Luoyang 471003, China$$School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China$$Henan Key Laboratory of Advanced Non-ferrous Metals, Luoyang 471003, ChinaShenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China$$Henan Key Laboratory of Advanced Non-ferrous Metals, Luoyang 471003, China$$School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China$$School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaShenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China$$Henan Key Laboratory of Advanced Non-ferrous Metals, Luoyang 471003, China$$School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China$$;School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China$$School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaSchool of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471003, China$$;Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China$$Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, ChinaShenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China$$

关键词: Hardness;    metallic crystals;    dislocation;    electron density.;   

DOI  :  

学科分类：材料工程

来源: Indian Academy of Sciences

【 摘 要 】

This paper presents a new formula for calculating the hardness of metallic crystals, resulted from the research on the critical grain size with stable dislocations. The formula is 𝐻 = 6 𝑘�?/[�?(1 �?? 𝜈)�??^�?], where 𝐻 is the hardness, �? the coefficient, 𝐺 the shear modulus, 𝜈 the Poisson’s ratio, �? a function of the radius of an atom (�?) and the electron density at the atom interface (�??). The formula will not only be used to testify the critical grain size with stable dislocations, but also play an important role in the understanding of mechanical properties of nanocrystalline metals.

【 授权许可】

Unknown